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Finding the Fourth Proportional to 70,742, 97,637.83 and 40,547.57

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Solution

The fourth proportional to 70,742, 97,637.83 and 40,547.57 is: 55,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,742 : 97,637.83 = 40,547.57 : x
  2. Step 2: Convert to fraction form
    70,742/97,637.83 = 40,547.57/x
  3. Step 3: Cross multiply
    70,742x = 97,637.83 × 40,547.57
  4. Step 4: Simplify right side
    70,742x = 3,958,976,258.38
  5. Step 5: Solve for x
    x = 3,958,976,258.38/70,742
  6. Step 6: Final answer
    x = 55,963.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.